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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1980, Volume 151, Pages 3–128 (Mi tm2474)  

This article is cited in 33 scientific papers (total in 37 papers)

Multiple trigonometric sums

G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov
Bibliographic databases:
Document Type: Book
UDC: 511
Language: Russian
Citation: G. I. Arkhipov, A. A. Karatsuba, V. N. Chubarikov, “Multiple trigonometric sums”, Trudy Mat. Inst. Steklov., 151, 1980, 3–128; Proc. Steklov Inst. Math., 151:2 (1982), 1–126
Citation in format AMSBIB
\Bibitem{ArkKarChu80}
\by G.~I.~Arkhipov, A.~A.~Karatsuba, V.~N.~Chubarikov
\paper Multiple trigonometric sums
\serial Trudy Mat. Inst. Steklov.
\yr 1980
\vol 151
\pages 3--128
\mathnet{http://mi.mathnet.ru/tm2474}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=608411}
\zmath{https://zbmath.org/?q=an:0489.10030}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1982
\vol 151
\issue 2
\pages 1--126
Linking options:
  • https://www.mathnet.ru/eng/tm2474
  • https://www.mathnet.ru/eng/tm/v151/p3
  • This publication is cited in the following 37 articles:
    1. M. A. Chahkiev, “Exact value of the exponent of convergence of the singular integral in Tarry's problem for homogeneous polynomials of degree n in two variables”, Izv. Math., 85:2 (2021), 332–340  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    2. V. N. Chubarikov, A. Giyasi, “O nekotorykh problemakh analiticheskoi teorii chisel v tvorchestve G. I. Arkhipova i S. M. Voronina”, Chebyshevskii sb., 22:2 (2021), 7–26  mathnet  crossref
    3. I. Sh. Dzhabbarov, “On the Multidimensional Tarry Problem for a Cubic Polynomial”, Math. Notes, 107:5 (2020), 713–726  mathnet  crossref  crossref  mathscinet  isi  elib
    4. I. Sh. Jabbarov, “Convergence Exponent of a Special Integral in the Two-Dimensional Tarry Problem with Homogeneous Polynomial of Degree 2”, Math. Notes, 105:3 (2019), 359–365  mathnet  crossref  crossref  mathscinet  isi  elib
    5. M. A. Korolev, “The estimate of weighted Kloosterman sums by additive shift”, Doklady Mathematics (Supplementary issues), 106:2 (2022), 221–229  mathnet  crossref  crossref  elib
    6. V. N. Chubarikov, “Matematika v zhizni Gennadiya Ivanovicha Arkhipova i Sergeya Mikhailovicha Voronina”, Chebyshevskii sb., 17:1 (2016), 6–10  mathnet  elib
    7. I. F. Avdeev, “Ob otsenke dzeta-funktsii kvadratichnoi formy otritsatelnogo diskriminanta na edinichnoi pryamoi”, Chebyshevskii sb., 17:1 (2016), 23–36  mathnet  elib
    8. A. A. Karatsuba, “Comments to My Works, Written by Myself”, Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S1–S23  mathnet  crossref  crossref  isi  elib
    9. I. Sh. Dzhabbarov, “O pokazatele skhodimosti osobogo integrala mnogomernoi problemy Terri”, Chebyshevskii sb., 14:2 (2013), 74–103  mathnet
    10. V. N. Chubarikov, “Matematicheskaya zhizn G. I. Arkhipova”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:4(2) (2013), 5–23  mathnet  crossref
    11. G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, S. M. Nikolskii, V. A. Sadovnichii, “O matematicheskikh rabotakh Vladimira Nikolaevicha Chubarikova”, Diskret. matem., 24:2 (2012), 4–20  mathnet  crossref  mathscinet  elib
    12. S. A. Gritsenko, E. A. Karatsuba, M. A. Korolev, I. S. Rezvyakova, D. I. Tolev, M. E. Changa, “Scientific Achievements of Anatolii Alekseevich Karatsuba”, Proc. Steklov Inst. Math., 280, suppl. 2 (2013), S1–S22  mathnet  crossref  crossref  zmath  isi  elib
    13. D. A. Popov, “On the second term in the Weyl formula for the spectrum of the Laplace operator on the two-dimensional torus and the number of integer points in spectral domains”, Izv. Math., 75:5 (2011), 1007–1045  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    14. V. N. Chubarikov, “Mnogomernye problemy teorii prostykh chisel”, Chebyshevskii sb., 12:4 (2011), 174–263  mathnet  mathscinet
    15. I. Sh. Dzhabarov, “Ob otsenkakh trigonometricheskikh integralov”, Chebyshevskii sb., 11:1 (2010), 85–108  mathnet  mathscinet
    16. L. D. Pustyl'nikov, “Generalized continued fractions and ergodic theory”, Russian Math. Surveys, 58:1 (2003), 109–159  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    17. Chakhkiev M.A., “The exponent of convergence of the singular integral in a multidimensional analog of the Terry problem”, Doklady Mathematics, 67:3 (2003), 320–322  isi
    18. G. I. Arkhipov, V. I. Blagodatskikh, V. S. Vladimirov, S. M. Voronin, O. B. Lupanov, E. F. Mishchenko, Yu. V. Prokhorov, V. N. Chubarikov, A. B. Shidlovskii, “Anatolii Alekseevich Karatsuba (on his 60th birthday)”, Russian Math. Surveys, 53:2 (1998), 419–422  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. D. A. Popov, “Estimates with constants for some classes of oscillatory integrals”, Russian Math. Surveys, 52:1 (1997), 73–145  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    20. L. D. Pustyl'nikov, “Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial”, Math. Notes, 56:6 (1994), 1315–1317  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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